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High Energy Physics - Theory

arXiv:1105.0218 (hep-th)
[Submitted on 1 May 2011 (v1), last revised 7 Aug 2011 (this version, v2)]

Title:Exact Large R-charge Correlators in ABJM Theory

Authors:Tanay K. Dey
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Abstract:We construct a class of operators, given by Schur polynomials, in ABJM theory. By computing two point functions at finite $N$ we confirm these are diagonal for this class of operators in the free field limit. We also calculate exact three and multi point correlators in the zero coupling limit. Finally, we consider a particular nontrivial background produced by an operator with an $R$-charge of $O(N^2$. We show that the nonplanar corrections (which can no longer be neglected, even at large $N$) can be resummed to give a $1/(N+M)$ expansion for correlators computed in this background.
Comments: 21 pages, 1 figure, revised version, large N expansion is corrected, to appear JHEP
Subjects: High Energy Physics - Theory (hep-th)
Report number: WITS-CTP-070
Cite as: arXiv:1105.0218 [hep-th]
  (or arXiv:1105.0218v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1105.0218
Related DOI: https://doi.org/10.1007/JHEP08%282011%29066

Submission history

From: Tanay Dey Kumar [view email]
[v1] Sun, 1 May 2011 23:30:23 UTC (17 KB)
[v2] Sun, 7 Aug 2011 10:15:07 UTC (17 KB)
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